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Finding the Fourth Proportional to 276,181.16, 413,984.46 and 187,441.88

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Solution

The fourth proportional to 276,181.16, 413,984.46 and 187,441.88 is: 280,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,181.16 : 413,984.46 = 187,441.88 : x
  2. Step 2: Convert to fraction form
    276,181.16/413,984.46 = 187,441.88/x
  3. Step 3: Cross multiply
    276,181.16x = 413,984.46 × 187,441.88
  4. Step 4: Simplify right side
    276,181.16x = 77,598,025,473.18
  5. Step 5: Solve for x
    x = 77,598,025,473.18/276,181.16
  6. Step 6: Final answer
    x = 280,967.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.